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Finding the Fourth Proportional to 228,716.31, 315,234.46 and 152,098.48

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Solution

The fourth proportional to 228,716.31, 315,234.46 and 152,098.48 is: 209,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,716.31 : 315,234.46 = 152,098.48 : x
  2. Step 2: Convert to fraction form
    228,716.31/315,234.46 = 152,098.48/x
  3. Step 3: Cross multiply
    228,716.31x = 315,234.46 × 152,098.48
  4. Step 4: Simplify right side
    228,716.31x = 47,946,682,209.62
  5. Step 5: Solve for x
    x = 47,946,682,209.62/228,716.31
  6. Step 6: Final answer
    x = 209,633.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.